Question

How do you determine if the equation `y = (2/3)^x` represents exponential growth or decay?

Answer 1

It's exponential decay

Explanation:

Exponential function: `y=ab^x`

If it is exponential decay, `b` will be smaller than `1` and greater than `0`

If it is is exponential growth, `b` will be greater than `1`

Here, `b` is `2/3`

`2/3` is smaller than `1` but greater than `0`. Thus, the equation must be exponential decay